A cube and a cylinder have identical heights and an identical base radius. Nevaeh knows the volume of the cylinder. What must she do to find the volume of the cone?(1 point)

To find the volume of the cone, Nevaeh must multiply the volume of the cylinder by
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1 answer

To find the volume of a cone that has the same height and base radius as a cylinder, Nevaeh must multiply the volume of the cylinder by \(\frac{1}{3}\).

The formula for the volume of a cylinder is \(V_{\text{cylinder}} = \pi r^2 h\), while the formula for the volume of a cone is \(V_{\text{cone}} = \frac{1}{3} \pi r^2 h\). Therefore, the volume of the cone is one third of the volume of the cylinder.